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Galina-37 [17]
3 years ago
9

The sphere weighs .075pound per cubic inch if the sphere radius is 4inches what is the weight to the sphere to the nearest pound

Mathematics
1 answer:
Dafna11 [192]3 years ago
5 0
Sphere Volume<span> = 4/3 • <span>π <span>• r³
</span></span></span>Sphere Volume<span> = 4/3 • <span>π <span>•radius^3
</span></span></span>Sphere Volume = <span> <span> <span> 268.08</span></span></span> cubic inchesSphere weight = <span> <span> 268.08 * .075
</span></span>Sphere weight = 20.106 pounds =20 pounds (rounded)


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Answer:

Area A = 12 = 1/2 × x × (5x-2)

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Step-by-step explanation:

Given;

base of the triangle is x feet;

Base = x

The height of a triangle is 2 less than 5 times it's base;

Height = 5x - 2

the area of the triangle is 12 square feet;

Area A = 12 ft^2

The area of a triangle is;

Area A = 1/2 × base × height

Substituting the base and height;;

Area A = 1/2 × x × (5x-2)

Area A = 1/2 × (5x^2 - 2x)

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Multiply through by 2.

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Solving the simultaneous equation;

x = 2.4 or -2

Since the base cannot be negative;

x = 2.4 ft

Height h = 5x -2 = 5(2.4) - 2 = 12 - 2 = 10 ft

Base x = 2.4

Height h = 10 ft

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